Use the Hungarian Method to Obtain the Optimal Solution to the Following

question 7

Essay

Use the Hungarian method to obtain the optimal solution to the following assignment problem in which total cost is to be minimized. All tasks must be assigned and no agent can be assigned to more than one task. $$\begin{array} { c | c c c c } & & { \text { Task } } \\\text { Agent } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline 1 & 10 & 12 & 15 & 25 \\2 & 11 & 14 & 19 & 32 \\3 & 18 & 21 & 23 & 29 \\4 & 15 & 20 & 26 & 28\end{array}$$

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Definitions:

Operations Function

The part of an organization dedicated to producing goods or services efficiently and effectively.

Commercial Bank

A type of financial institution that offers banking services to individuals and businesses, including deposit accounts, loans, and other financial products.

Teller Scheduling

A process in the banking sector for allocating shifts and work hours to tellers, optimizing customer service and operational efficiency.

Operations

Pertains to the day-to-day activities involved in running a business or manufacturing processes to efficiently produce goods or services.